If a 4 ohms resistance wire is doubled, determine its new resistance.

Resistance can be depicted as the ratio between the applied voltage to the current flowing through a circuit. The S.I. unit of resistance is Ohms (Ω).

Determine the Given Data

Initial resistance on the wire, R_i = 4 Ω

Assuming that the initial length of the wire = L_i.

As per the given equation, the final length of the wire L_f =2L_i

Consider area of the wire = A.

Consider the resistivity of the wire = ρ.

Consider final resistance of the wire = R_f.

Formula Used

We know that resistance is given as,

⇒ \(R = \rho{{L} \over A}\)

⇒ \(\rho= {{RA} \over L}\)

Calculation of New Resistance

Since the resistivity of the wire remains the same in both, we can mention:

\(\rho = {{R_i A} \over L_i} = {{R_fA} \over L_f}\)

⇒ \({{R_i} \over L_i} = {{R_f} \over L_f}\)

Upon value substitution, we can get,

\({{4} \over Li} = {{R_f} \over 2L_i}\)

⇒ R_f= 8 \(\Omega\)

Therefore, the new resistance is 8\(\Omega\).

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If a 4 ohms resistance wire is doubled, determine its new resistance.

Determine the Given Data

Formula Used

Calculation of New Resistance

Related Questions

CBSE CLASS XII Related Questions

1.
Write any two features of nuclear forces.

2.
Assertion (A) : All atoms have a net magnetic moment. Reason (R) : A current loop does not always behave as a magnetic dipole.

3.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

5.
Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

6.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

Similar Physics Concepts

Comments

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If a 4 ohms resistance wire is doubled, determine its new resistance.

Determine the Given Data

Formula Used

Calculation of New Resistance

Related Questions

CBSE CLASS XII Related Questions

1. Write any two features of nuclear forces.

2.Assertion (A) : All atoms have a net magnetic moment. Reason (R) : A current loop does not always behave as a magnetic dipole.

3.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4. If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

5.Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

6.A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Write any two features of nuclear forces.

2.
Assertion (A) : All atoms have a net magnetic moment. Reason (R) : A current loop does not always behave as a magnetic dipole.

3.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

5.
Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

6.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be: